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<p><dfn class="terminology">Theorem</dfn> Suppose that <span class="process-math">\(f\)</span> and <span class="process-math">\(g\)</span> are differentiable on an open interval <span class="process-math">\(I\text{.}\)</span> If <span class="process-math">\(W(f, g) \neq 0\)</span> for a point <span class="process-math">\(x_0\)</span> in <span class="process-math">\(I\text{,}\)</span> then <span class="process-math">\(f\)</span> and <span class="process-math">\(g\)</span> are linear independent. Equivalently, this theorem states that if <span class="process-math">\(f, g\)</span> are linear dependent, then <span class="process-math">\(W(f, g)=0\)</span> for every point <span class="process-math">\(x\)</span> in <span class="process-math">\(I\text{.}\)</span></p>
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